It was also the 96th victory at Roland Garros for the Spaniard, who is seeking a 20th Grand Slam title to equal Roger Federer's record.
"It wasn't easy at all. Our defence performance wasn't Bayern-like today but we showed great mentality and that is why we reaped all three points," Bayern head coach Hansi Flick said.
It was a case of one in and one out for Atletico Madrid, who lost midfielder Thomas Partay to Arsenal after the Premier League club paid the 50 million euro buyout clause of the Ghanaian international.
"I've had two fantastic years here at Sydney FC and have cherished every moment of my life in Australia," he said.
Namibia Football Association (NFA) spokesperson Dan Kamati said that although their counterparts named a strong team, he chose to rather focus on what his team can offer and is confident that they will compete.
The game went into turmoil after that as Ciro Immobile was sent off in the 69th minute for slapping Arturo Vidal after being tripped by the Chilean, while Inter's midfielder Stefano Sensi also saw red in the dying minutes.
Real Madrid, who on Friday completed the loan of striker Borja Mayoral to AS Roma, travel to Valencia where they will play a Levante side that was slightly unlucky to lose to a late goal away to Sevilla in midweek.
"The COVID-19 pandemic is resurging in a few countries and regions, who tightened their control measures. Postponement or cancelation of events can safeguard the health of athletes and all other participants," Beijing 2022 organizers said in a statement on the official website.
Its water area now reaches approximately 320.1 square km, which is 3.4 percent higher than last year. Enditem
It looked like Bayern was on the way to an easy victory but Hertha Berlin turned up the intensity and halved the deficit only seven minutes later when Cordoba headed home Matheus Cunha's free kick.
The 12th seed poured out his intense emotions on the court, yelling at himself or his coaches after wasting several chances.